Question

There are two vectors $\overset{\rightarrow}{A} = \widehat{i} + \widehat{j} + \widehat{k}$and $\overset{\rightarrow}{B} = \widehat{i} - \widehat{j} + \widehat{k}$, then component of $\overset{\rightarrow}{A}$ along $\overset{\rightarrow}{B}$ –

• A. (a) $\frac{1}{\sqrt{3}}$ ( $\widehat{i} - \widehat{j} + \widehat{k}$)
• A. (b) $\frac{1}{\sqrt{3}}$ ( $\widehat{i} + \widehat{j} + \widehat{k}$)
• A. (c) $\sqrt{3}$ ( $\widehat{i} + \widehat{j} + \widehat{k}$)
• A. (d) ($\widehat{i} - \widehat{j} + \widehat{k}$)

Answer 1

(b)

Component of $\overset{\rightarrow}{A}$along $\overset{\rightarrow}{B}$= $\left( \frac{\overset{\rightarrow}{A}.\overset{\rightarrow}{B}}{|\overset{\rightarrow}{B}|} \right)\widehat{B}$